Almost Periodic Solutions of Differential Equations

We construct the Favard–Amerio theory for almost periodic differential equations in Banach spaces without using the ℋ -classes of these equations. For linear equations, we present the first examples of almost periodic operators that have no analogs in the classical Favard–Amerio theory.

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2021-04, Vol.254 (2), p.287-304
Main Author: Slyusarchuk, V. Yu
Format: Article
Language:English
Subjects:
Banach spaces
Differential equations
Linear equations
Mathematical analysis
Mathematics
Mathematics and Statistics
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Description
Summary:We construct the Favard–Amerio theory for almost periodic differential equations in Banach spaces without using the ℋ -classes of these equations. For linear equations, we present the first examples of almost periodic operators that have no analogs in the classical Favard–Amerio theory.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-021-05305-6